An effective model for quark masses and mixings

Authors
Citation
W. Krolikowski, An effective model for quark masses and mixings, ACT PHY P B, 32(10), 2001, pp. 2961-2979
Citations number
14
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
32
Issue
10
Year of publication
2001
Pages
2961 - 2979
Database
ISI
SICI code
0587-4254(200110)32:10<2961:AEMFQM>2.0.ZU;2-J
Abstract
By analogy with an effective model of charged-lepton mass matrix that, with the inputs of m(e)(exp) and m(mu)(exp), predicts (in a perturbative zero o rder) m(tau) = 1776.80 MeV close to m(tau)(exp) = 1777.03 (+0.30)(-0.26) Me V, we construct such a model for quark mass matrices reproducing consistent ly the bulk of experimental information on quark masses and mixings. In par ticular, the model predicts \V-ub\ = 0.00313, gamma = - arg V-ub = 63.8 deg rees and \V-td\ = 0.00785, beta = - arg V-td = 20.7 degrees (i.e., sin 2 be ta = 0.661 to be compared with the BaBar value sin 2 beta (exp) = 0. 59 +/- 0. 14), if the figures \V-us(exp)\ = 0. 2196, \V-cb(exp)\ = 0. 0402 and m( s)(exp) = 123 MeV, m(c)(exp) = 1.25 GeV, m(b)(exp) = 4.2 GeV are used as in puts. Also the rest of CKM matrix elements is predicted consistently by the experimental data. Here, quark masses and CKM matrix elements (ten indepen dent quantities) are parametrised by eight independent model constants, wha t gives two independent predictions, e.g. for \V-ub\ and beta. The consider ed model deals with the fundament al-fermion Dirac mass matrices, so that t he neutrino Majorana mass matrix is outside the scheme. Some foundations of the model are collected in Appendix.